33601 has 2 divisors, whose sum is σ = 33602. Its totient is φ = 33600.

The previous prime is 33599. The next prime is 33613. The reversal of 33601 is 10633.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18225 + 15376 = 135^2 + 124^2 .

It is a cyclic number.

It is not a de Polignac number, because 33601 - 2¹ = 33599 is a prime.

It is a super-2 number, since 2×33601² = 2258054402, which contains 22 as substring.

Together with 33599, it forms a pair of twin primes.

33601 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (33641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16800 + 16801.

It is an arithmetic number, because the mean of its divisors is an integer number (16801).

2³³⁶⁰¹ is an apocalyptic number.

It is an amenable number.

33601 is a deficient number, since it is larger than the sum of its proper divisors (1).

33601 is an equidigital number, since it uses as much as digits as its factorization.

33601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 33601 is about 183.3057555016. The cubic root of 33601 is about 32.2688930420.

The spelling of 33601 in words is "thirty-three thousand, six hundred one".